w=weeks

v= value of remaining tickets after w weeks

v=1/2(100-10w)

you have 100 tickets and you tell 10 tickets per week (w). the value (v) will be 100-10(# of weeks) divided by 2 (the tickets sell for .50 each.)

to find out the value of tickets you have after 5 weeks, plug in a 5 for the w. v=1/2(100-10*5) since it’s distributive property, multiply the 10 and 5 first. v=1/2(100-50) now distribute the 1/2 (divide every thing in the parentheses by 2) v=50-25 . subtract and you should get v=25.

to find the number of weeks when the value is 10, just plug in a 10 for the v. 10=1/2(100-10w). distribute the 1/2. 10=50-5w. now move the 50 to the other side of the = by subtracting it from both sides. -40=-5w. divide by -5 on both sides and you’ll get w=8.

hope that helped.

1. after w weeks, you will have sold 10w tickets, and n=100-10w tickets remaining.

n = number of remaining tickets

w = number of weeks

2. after 5 weeks, you’ll have sold 5w tickets.

Each ticket costs 50 cents.

100-5w tickets remain.

C = (100-5w)(1/2)

C = (100-5w)/2

C = cost or value of remaining tickets after 5 weeks. 1/2 dollar is 50 cents. C is in dollars and cents.

3) $10 = 1000 cents

each week, you sell 10 tickets, or make $5 (500 cents)

In 2 weeks, the value is $5 x 2 = $10.